What is the Greatest Common Factor of 28985 and 28996?

Greatest common factor (GCF) of 28985 and 28996 is 11.

GCF(28985,28996) = 11

We will now calculate the prime factors of 28985 and 28996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28985 and 28996.

How to find the GCF of 28985 and 28996?

We will first find the prime factorization of 28985 and 28996. After we will calculate the factors of 28985 and 28996 and find the biggest common factor number .

Step-1: Prime Factorization of 28985

Prime factors of 28985 are 5, 11, 17, 31. Prime factorization of 28985 in exponential form is:

28985 = 5¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 28996

Prime factors of 28996 are 2, 11, 659. Prime factorization of 28996 in exponential form is:

28996 = 2² × 11¹ × 659¹

Step-3: Factors of 28985

List of positive integer factors of 28985 that divides 28985 without a remainder.

1, 5, 11, 17, 31, 55, 85, 155, 187, 341, 527, 935, 1705, 2635, 5797

Step-4: Factors of 28996

List of positive integer factors of 28996 that divides 28985 without a remainder.

1, 2, 4, 11, 22, 44, 659, 1318, 2636, 7249, 14498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28985 and 28996. The biggest common factor number is the GCF number.
So the greatest common factor 28985 and 28996 is 11.

Also check out the Least Common Multiple of 28985 and 28996